A thin uniform-density rod whose mass is 3.6 kg and whose length is 2.5 m rotates around an axis perpendicular to the rod, with angular speed 30 radians/s. Its center moves with a speed of 23 m/s. What is the total kinetic energy?

Q: A 1.7 kg solid sphere (radius = 0.20 mm ) is released from rest at the top of a ramp and allowed to…

A: When the sphere is at the top of the ramp and it is at rest, its kinetic energy is zero. Thus, the…

Q: The rigid body shown is rotated about an axis perpendicular to the paper and through the point P. If…

A: Given Two objects of mass M and 3M where M = 0.4 kg a = 30 cm = 0.3 m b = 50 cm = 0.5 m angular…

Q: In the figure, two blocks, of masses m=1.69 (kg) and M=3.65 (kg), are connected by a light string…

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Q: A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If…

A: Given data The inner radius of the cylinder is ri = 10 cm. The outer radius of the cylinder is ro =…

Q: In the figure, two particles, each with mass m = 0.85 kg, are fastened to each other, and to a…

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Q: A bowling ball has a mass 4 kg, a moment of inertia of 1.6 x 10-2 kg x m2 and a radius of 0.1 m. If…

A: Total energy is sum of rotational and translational energy ETot=ERot+ETran=12Iω2+12mv2=12Ivr2+12mv2…

Q: A thin, hollow sphere of mass 2.20 kg and radius 0.550 m is rolling on a horizontal surface with a…

A: Explanation The hollow sphere is rolling on the horizontal surface. So the sphere has both…

Q: A turntable with a moment of inertia of 0.028 kg∗m^2 rotates freely at 3.3 rad/s. A circular disk of…

A: Given data The initial moment of inertia of the turntable is Ii_t = 0.028 kgm2 The initial angular…

Q: A uniform, solid sphere with a radius of 0.20 m and a mass of 0.50 kg rolls without slipping on a…

A: The formula for the moment of inertia of a solid sphere is: The formula for the total kinetic…

Q: A disk of mass 2.00 kg and diameter 50.0 cm is rotating without slipping across a level floor at a…

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Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: Total kinetic energy is,

Q: three 0.0100 kg particles have been glued to a rod of length L= 6.00 cm and negligible mass and can…

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Q: Two wheels of moment of inertia 8.6 kg.m and 13 kg m² are set in rotation with angular speed 2.1…

A: The situation provided in the question reassembles the condition of inelastic collision. Thus, apply…

Q: In the figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a…

A: mass of particles , m = 0.8 kg mass of rod , M = 1.1 kg Angular speed , ω = 0.34 rad/s d = 5.4 cm =…

Q: While spinning down from 500.0 rpm to rest, a solid uniform flywheel does of work 51 KJ. If the…

A: initial angular speed (ω) = 500 rpm= 500×2π60 = 52.36 radsec final angular speed (ωf) = 0 rpm work…

Q: Two uniform solid cylinders, each rotating about its central (longitudinal) axis, have the same mass…

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Q: A small ball is rotating in a circular horizontal path. The ball is held by a rigid rod. The moment…

A: Given data:  Ball rotating in circular horizontal path  Moment of inertia (I) = 2.43 kg.m2 Angular…

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

A: The kinetic energy is given as  K.E=12Iω2…

Q: 3.00 kg 2.00 kg 6.00 m 2.00 kg( 4.00 kg -4.00 m→|

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Q: 13. Rigid rods of negligible mass lying along the y-axis connect three particles. The system rotates…

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Q: In the figure, two particles, each with mass m = 0.78 kg, are fastened to each other, and to a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A solid metal sphere has a radius of 0.05 m and a mass of 0.28 kg. The speed of its center of mass…

A: Given,  Mass of solid sphere , m = 0.28 kg  R = 0.05 m  Vcm = 17 m/s  w = 220 rad/s

Q: A disk of mass 2.00 kg and diameter 50.0 cm is rotating without slipping across a level floor at a…

A: Given, Mass of the disk = 2 kg = m Diameter of the disc = 50 cm = 0.5 m  r = d/2 = 0.25 m Angular…

Q: A solid disk of mass m, = 9.1 kg and radius R = 0.18 m is rotating with a constant angular velocity…

A: Answers: (4) : Lf=5.1597 kg m2/s (5) : KEf= 71.45 J (6) : Torque required =0.15835 N-M Explaination:…

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 25 m/s and makes a smooth…

A: Given: The mass of the sphere is M. The radius of the sphere is r. The velocity of the sphere is 25…

Q: You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be…

A: Given data *The uniform disk with radius is R = 23.0 cm = 0.23 m *The given constant angular…

Q: In the figure. two particles. each with mass m 0.95 kg. are fastened to each other, and to a…

A: Given,mass of the each particle, m = 0.95 kglength of the rod, d = 5.8 cmmass of the rod, M = 1.0…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…

Q: Consider two identical billiard balls (I = ²mR²) with mass 0.160 [kg] and radius 0.0250 [m] that…

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Q: The solid spherical Earth has a mass M=6.0x1024 kg, a radius R=6.37x106 m, and orbits the Sun at a…

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Q: A uniform sphere with mass 22.0 kgkg and radius 0.340 mm is rotating at constant angular velocity…

A: Given Data: The mass of a uniform sphere is, m=22.0 kg The radius of a sphere is, r=0.340 mm The…

Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…

A: The moment of inertia of the rod is, I=mL2=2.59 kg0.745 m2=3.72 kg·m2 The angular speed of the…

Q: In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible…

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Q: A solid sphere of mass 2.36 kg and radius 0.660 m is rolling without slipping along a horizontal…

A: Given data The mass of the solid sphere is given as m = 2.36 kg. The radius of the sphere is given…

Q: A solid uniform sphere of mass 116 kg and radius 1.70 m starts from rest and rolls without slipping…

A: Mass of the solid sphere,m=116 kg The radius of the solid sphere, R=1.70 m The vertical height of…

Q: In the figure, two particles, each with mass m cm and mass M = 1.1 kg. The combination rotates…

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Q: A uniform solid sphere rolls along a horizontal frictionless surface at 15 m/s and makes a smooth…

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Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.99 J of…

A: The given data are: E=1.99 JC=0.749 mM=0.624 kg Here, E denotes the energy, C denotes the…

Q: In the figure, three 0.02 kg particles have been glued to a rod of length L = 13 cm and negligible…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: The kinetic energy for a rotating body is given as K.E=12Iω2…

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

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Q: A uniform solid sphere, of radius R = 1.0 m and mass M = 5.0 kg, rotates freely with a constant…

A: Given : Radius →R=1.0 m Mass →M=5.0 kg  Angular speed →ω=2.0 rad/s

Q: A uniform sphere with mass 28.0 kg and radius 0.380 m is rotating at constant angular velocity about…

A: mass, m = 28 kg  radius, r = 0.38 m  Kinetic energy, K = 236 J

Q: A hollow spherical shell of radius R that is rotating about an axis through its center has…

A: Expression for kinetic energy -  EK=12Iω2 Where,  I=Moment of inertia of hollow sphericalI=23MR2ω2…

Q: A solid, uniform sphere of mass 2.0 kg and radius 1.7m rolls without slipping down an inclined plane…

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Q: A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy Susan (a circular…

A: a) According to the conservation of the angular momentum, Thus, the initial angular momentum of the…

Q: In the figure, two particles, each with mass m= 0.88 kg, are fastened to each other, and to a…

A: Given, M=1.3 Kg m=0.88 kg d=5.6cm ω=0.28 rad

Q: A uniform rod of length 60cm rotated in the xy plane about a frictionless pin passing through one…

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